The example of rabbits and foxes was introduced in 8-F Foxes and …
The example of rabbits and foxes was introduced in 8-F Foxes and Rabbits to illustrate two functions of time given in a table. The same situation was used in F-TF Foxes and Rabbits 2 to find trigonometric functions modeling the data in the table. The previous situation was somewhat unrealistic since we were able to find functions that fit the data perfectly. In this task, on the other hand, we do some legitimate modelling, in that we come up with functions that approximate the data well, but do not perfectly match, the given data.
Listen and learn to youtube videos for free online. Short clips of …
Listen and learn to youtube videos for free online. Short clips of basic vocabulary and sentences for the beginner learner. The script is shown as the words are spoken.
This series of 5 word problems lead up to the final problem. …
This series of 5 word problems lead up to the final problem. Most students should be able to answer the first two questions without too much difficulty. The decimal numbers may cause some students trouble, but if they make a drawing of the road that the girls are riding on, and their positions at the different times, it may help. The third question has a bit of a challenge in that students won't land on the exact meeting time by making a table with distance values every hour. The fourth question addresses a useful concept for problems involving objects moving at different speeds which may be new to sixth grade students.
The problem requires students to not only convert miles to kilometers and …
The problem requires students to not only convert miles to kilometers and gallons to liters but they also have to deal with the added complication of finding the reciprocal at some point. In the USA we use distance per unit volume to measure fuel efficiency but in Europe we use volume per unit distance. Furthermore, the unit of distance is not simply 1 km but rather 100 km.
In this activity, students investigate the simulated use of solid rocket fuel …
In this activity, students investigate the simulated use of solid rocket fuel by using an antacid tablet. Students observe the effect that surface area and temperature has on chemical reactions. Also, students compare the reaction time using two different reactants: water and vinegar. Finally, students report their results using a bar graph.
This task can be played as a game where students have to …
This task can be played as a game where students have to guess the rule and the instructor gives more and more input output pairs. Giving only three input output pairs might not be enough to clarify the rule.
While we know air exists around us all the time, we usually …
While we know air exists around us all the time, we usually do not notice the air pressure. During this activity, students use Bernoulli's principle to manipulate air pressure so its influence can be seen on the objects around us.
St. Vrain Valley School District discusses how to create a system that …
St. Vrain Valley School District discusses how to create a system that supports personalized learning from start to finish. Career pathway focus. Design thinking.
Personalized Professional Learning for Future Ready Leaders http://tech.ed.gov/leaders
On June 10, 2024, the Sun West School Division Grade-Alike Planning Team …
On June 10, 2024, the Sun West School Division Grade-Alike Planning Team hosted a Share Out Day in which they presented their collaborative projects and provided links to all resources explored throughout the year. The teacher recommended resources for Grades 7, 8, and 9 are available in the GAP Hub. This participant handout contains information about each of the learning topics and includes learning outcomes and links to informative websites as recommeded by the guest presenters.
The goal of this task is to use ideas about linear functions …
The goal of this task is to use ideas about linear functions in order to determine when certain angles are right angles. The key piece of knowledge implemented is that two lines (which are not vertical or horizontal) are perpendicular when their slopes are inverse reciprocals of one another.
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Three circles, each having radius 2, are mutually tangent as pictured below: What is the total area of the circles together with the shaded region?...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Suppose $C$ is a circle with center $O$ as pictured below: Find all lines of symmetry of the circle and explain why the list is complete....
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Choose two distinct points $A$ and $B$ in the plane. For which points $C$ is $\triangle ABC$ a right triangle? For which points $C$ is $\triangle ABC$ ...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Alex and his friends are studying for a geometry test and one of the main topics covered is parallel lines. They each write down what they think it mea...
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Three students have proposed these ways to describe when two lines $\ell$ and $m$ are perpendicular: $\ell$ and $m$ are perpendicular if they meet at o...
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